R-POLYNOMIALS OF FINITE MONOIDS OF LIE TYPE

DOI10.1142/S0218196710005893zbMath1218.20045arXiv0811.4382OpenAlexW2024307505WikidataQ115245907 ScholiaQ115245907MaRDI QIDQ3162707

Mahir Bilen Can, Kürşat Aker, Müge Taşkın

Publication date: 21 October 2010

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.4382

zbMATH Keywords

Weyl groupsfinite groups of Lie typereductive monoidsRenner monoids\(R\)-polynomialsfinite monoids of Lie typeBruhat-Chevalley orderingKazhdan-Lusztig involutionsorbit Hecke algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Linear algebraic groups over finite fields (20G40) Representations of finite groups of Lie type (20C33) Algebraic monoids (20M32)

Related Items (3)

Stirling posets ⋮ Generic Hecke algebra for Renner monoids. ⋮ The rook monoid is lexicographically shellable

Cites Work

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• Bruhat-Chevalley order in reductive monoids.
• Analogue of the Bruhat decomposition for algebraic monoids
• Bruhat order of Coxeter groups and shellability
• Representations of Coxeter groups and Hecke algebras
• Invariant algebra and cuspidal representations of finite monoids
• Hecke algebras and semisimplicity of monoid algebras
• Analogue of the Bruhat-Chevalley order for reductive monoids
• Monoids on groups with BN-pairs
• Shellability in reductive monoids
• Generalized Quotients in Coxeter Groups
• Monoid Hecke algebras

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